What is 100e^{-0.00507*24} ?

The solution to 100e^{-0.00507*24} is 88.54316…

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simplify 100e^{-0.00507*24}

simplify

100 e^{- 0.00507 \cdot 24}

88.54316 \dots

Solution steps

100 e^{- 0.00507 \cdot 24}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 100 \cdot \frac{1}{e ^{24 \cdot 0.00507}}

Multiply the numbers:

0.00507 \cdot 24 = 0.12168

= 100 \cdot \frac{1}{e ^{0.12168}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 100}{e ^{0.12168}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.12168}}

e^{0.12168} = 1.12939 \dots

= \frac{100}{1.12939 \dots}

Divide the numbers:

\frac{100}{1.12939 \dots} = 88.54316 \dots

= 88.54316 \dots

t cos (3 t) e^{- t}

6.3788500000000 \dots \cdot 1 0^{- 6}

x - 2 (2 x - 1)

9.971 \cdot 1 0^{- 1}

- 3.5 \cdot 1 0^{- 3}